Tricia made a circular mat from a square piece of cloth as shown in the diagram below.

-14 in.

In terms of pi, what is the circumference, in inches (in.), of the circular mat?

O

O

o

O

147 inches

287 inches

49 inches

567 inches

The option C) 49 inches is the circumference of the circular mat.

Step-by-step explanation:

Tricia made a circular mat from a square piece of cloth. The measure of the side length of the square = 14 inches. The length of the side is same as the diameter of the circle. Therefore, the diameter of the circular mat = 14 inches.

To find radius:

Radius = diameter / 2

⇒ 14/2

⇒ 7 inches.

To find the circumference of the circular mat:

Circumference = 2πr

where,

π has the default value of 3.14

r is the radius of the circular mat.

⇒ 2 * 3.14 * 7

⇒ 44 inches.

∴ The circumference of the circular mat is 44 inches.

Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.